(5x+4w)(4x-7w)=

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Solution for (5x+4w)(4x-7w)= equation: 


Simplifying
(5x + 4w)(4x + -7w) = 0

Reorder the terms:
(4w + 5x)(4x + -7w) = 0

Reorder the terms:
(4w + 5x)(-7w + 4x) = 0

Multiply (4w + 5x) * (-7w + 4x)
(4w * (-7w + 4x) + 5x * (-7w + 4x)) = 0
((-7w * 4w + 4x * 4w) + 5x * (-7w + 4x)) = 0

Reorder the terms:
((16wx + -28w2) + 5x * (-7w + 4x)) = 0
((16wx + -28w2) + 5x * (-7w + 4x)) = 0
(16wx + -28w2 + (-7w * 5x + 4x * 5x)) = 0
(16wx + -28w2 + (-35wx + 20x2)) = 0

Reorder the terms:
(16wx + -35wx + -28w2 + 20x2) = 0

Combine like terms: 16wx + -35wx = -19wx
(-19wx + -28w2 + 20x2) = 0

Solving
-19wx + -28w2 + 20x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-4w + -5x)(7w + -4x) = 0


Subproblem 1
Set the factor '(-4w + -5x)' equal to zero and attempt to solve:

Simplifying
-4w + -5x = 0

Solving
-4w + -5x = 0

Move all terms containing w to the left, all other terms to the right.

Add '5x' to each side of the equation.
-4w + -5x + 5x = 0 + 5x

Combine like terms: -5x + 5x = 0
-4w + 0 = 0 + 5x
-4w = 0 + 5x
Remove the zero:
-4w = 5x

Divide each side by '-4'.
w = -1.25x

Simplifying
w = -1.25x

Subproblem 2
Set the factor '(7w + -4x)' equal to zero and attempt to solve:

Simplifying
7w + -4x = 0

Solving
7w + -4x = 0

Move all terms containing w to the left, all other terms to the right.

Add '4x' to each side of the equation.
7w + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
7w + 0 = 0 + 4x
7w = 0 + 4x
Remove the zero:
7w = 4x

Divide each side by '7'.
w = 0.5714285714x

Simplifying
w = 0.5714285714x
Solution
w = {-1.25x, 0.5714285714x}

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